Finding the Fourth Proportional to 313.99, 470.99 and 119.09
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Solution
The fourth proportional to 313.99, 470.99 and 119.09 is: 178.64
Step by Step Solution
- Step 1: Write the proportion equation
313.99 : 470.99 = 119.09 : x - Step 2: Convert to fraction form
313.99/470.99 = 119.09/x - Step 3: Cross multiply
313.99x = 470.99 × 119.09 - Step 4: Simplify right side
313.99x = 56,090.20 - Step 5: Solve for x
x = 56,090.20/313.99 - Step 6: Final answer
x = 178.64
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.